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Finding the Fourth Proportional to 5,638.06, 7,779.63 and 3,648.70

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Solution

The fourth proportional to 5,638.06, 7,779.63 and 3,648.70 is: 5,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.06 : 7,779.63 = 3,648.70 : x
  2. Step 2: Convert to fraction form
    5,638.06/7,779.63 = 3,648.70/x
  3. Step 3: Cross multiply
    5,638.06x = 7,779.63 × 3,648.70
  4. Step 4: Simplify right side
    5,638.06x = 28,385,535.98
  5. Step 5: Solve for x
    x = 28,385,535.98/5,638.06
  6. Step 6: Final answer
    x = 5,034.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.